Constructive Field Theory in Zero Dimension

Details Constructive Field Theory in Zero Dimension Constructive Field Theory in Zero Dimension

2009-06-18

arxiv.org/abs/0906.3524v1

Adv.Math.Phys.2010:180159,,2010

Physics

Mathematical Physics

12 pages,one figure

Scientific paper

10.1155/2009/180159

In this pedagogical note we propose to wander through five different methods
to compute the number of connected graphs of the zero-dimensional $\phi^4$
field theory,in increasing order of sophistication. The note does not contain
any new result but may be helpful to summarize the heart of constructive
resummations, namely a replica trick and a forest formula.

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